# Algebra Puzzle – Challenge 35

Want to improve your logic and critical thinking? Have a look at this great math puzzle. Let's tease your brain!

## Challenge:

The ratio of the ages of Eric and Tara is 2 to 3 and the ratio of the ages of Tara and Marshall is 9 to 7. If the sum of their ages is 66, then how old is Eric?

$11.99 Satisfied 123 Students The correct answer is 18. Let E be the age of Eric, T be the age of Tara and M be the age of Marshall. E + T + M = 66 The ratio of E to T is 2 to 3. So: $$E = \frac{2}{3} T$$ The ratio of T to M is 9 to 7. So: $$M = \frac{7}{9} T$$ Replace the value of E and M in the first equation with their values in the second and third equations: $$\frac{2}{3} T + T + \frac{7}{9} T = 66 → \frac{22}{9} T = 66 → T = 27$$ $$E = \frac{2}{3} T ⇒ E = \frac{2}{3} (27) = 18$$ Eric is 18 years old now. ## Related to This Article ### More math articles ### What people say about "Algebra Puzzle - Challenge 35"? No one replied yet. X 30% OFF Limited time only! Save Over 30% SAVE$5

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